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Simplifying 3x + 4(-6x + -17) = 121 Reorder the terms: 3x + 4(-17 + -6x) = 121 3x + (-17 * 4 + -6x * 4) = 121 3x + (-68 + -24x) = 121 Reorder the terms: -68 + 3x + -24x = 121 Combine like terms: 3x + -24x = -21x -68 + -21x = 121 Solving -68 + -21x = 121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + -21x = 121 + 68 Combine like terms: -68 + 68 = 0 0 + -21x = 121 + 68 -21x = 121 + 68 Combine like terms: 121 + 68 = 189 -21x = 189 Divide each side by '-21'. x = -9 Simplifying x = -9
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